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<div class="title">relax_dynamics.h</div>  </div>
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<a href="relax__dynamics_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/* -------------------------------------------------------------------------*</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">*                               SPHinXsys                                   *</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">* --------------------------------------------------------------------------*</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">* SPHinXsys (pronunciation: s&#39;finksis) is an acronym from Smoothed Particle *</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">* Hydrodynamics for industrial compleX systems. It provides C++ APIs for    *</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">* physical accurate simulation and aims to model coupled industrial dynamic *</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">* systems including fluid, solid, multi-body dynamics and beyond with SPH   *</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">* (smoothed particle hydrodynamics), a meshless computational method using  *</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment">* particle discretization.                                                  *</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment">*                                                                           *</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment">* SPHinXsys is partially funded by German Research Foundation               *</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment">* (Deutsche Forschungsgemeinschaft) DFG HU1527/6-1, HU1527/10-1             *</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="comment">* and HU1527/12-1.                                                          *</span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="comment">*                                                                           *</span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="comment">* Portions copyright (c) 2017-2020 Technical University of Munich and       *</span></div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="comment">* the authors&#39; affiliations.                                                *</span></div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="comment">*                                                                           *</span></div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="comment">* Licensed under the Apache License, Version 2.0 (the &quot;License&quot;); you may   *</span></div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="comment">* not use this file except in compliance with the License. You may obtain a *</span></div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="comment">* copy of the License at http://www.apache.org/licenses/LICENSE-2.0.        *</span></div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="comment">*                                                                           *</span></div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="comment">* --------------------------------------------------------------------------*/</span></div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="preprocessor">#pragma once</span></div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160; </div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="preprocessor">#include &quot;math.h&quot;</span></div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160; </div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="preprocessor">#include &quot;all_particle_dynamics.h&quot;</span></div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="neighbor__relation_8h.html">neighbor_relation.h</a>&quot;</span></div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="base__kernel_8h.html">base_kernel.h</a>&quot;</span></div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="mesh__cell__linked__list_8h.html">mesh_cell_linked_list.h</a>&quot;</span></div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160; </div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespace_s_p_h.html">SPH</a></div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;{</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;    <span class="keyword">class </span>ComplexShape;</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    <span class="keyword">class </span>LevelSetComplexShape;</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160; </div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;    <span class="keyword">namespace </span>relax_dynamics</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;    {</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        <span class="keyword">typedef</span> DataDelegateSimple&lt;SPHBody, BaseParticles&gt; RelaxDataDelegateSimple;</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160; </div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        <span class="keyword">typedef</span> DataDelegateInner&lt;SPHBody, BaseParticles&gt; RelaxDataDelegateInner;</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160; </div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        <span class="keyword">typedef</span> DataDelegateComplex&lt;SPHBody, BaseParticles, BaseMaterial, SPHBody, BaseParticles&gt; RelaxDataDelegateComplex;</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160; </div>
<div class="line"><a name="l00057"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1relax__dynamics_1_1_get_time_step_size_square.html">   57</a></span>&#160;        <span class="keyword">class </span><a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_get_time_step_size_square.html">GetTimeStepSizeSquare</a> :</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;            <span class="keyword">public</span> <a class="code" href="class_s_p_h_1_1_particle_dynamics_reduce.html">ParticleDynamicsReduce</a>&lt;Real, ReduceMax&gt;,</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;            <span class="keyword">public</span> <a class="code" href="class_s_p_h_1_1_data_delegate_simple.html">RelaxDataDelegateSimple</a></div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        {</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;        <span class="keyword">public</span>:</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;            <span class="keyword">explicit</span> <a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_get_time_step_size_square.html">GetTimeStepSizeSquare</a>(<a class="code" href="class_s_p_h_1_1_s_p_h_body.html">SPHBody</a>* body);</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;            <span class="keyword">virtual</span> ~<a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_get_time_step_size_square.html">GetTimeStepSizeSquare</a>() {};</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;            StdLargeVec&lt;Vecd&gt;&amp; dvel_dt_;</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;            Real h_ref_;</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;            Real ReduceFunction(<span class="keywordtype">size_t</span> index_i, Real dt = 0.0) <span class="keyword">override</span>;</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;            Real OutputResult(Real reduced_value) <span class="keyword">override</span>;</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        };</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160; </div>
<div class="line"><a name="l00077"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1relax__dynamics_1_1_relaxation_acceleration_inner.html">   77</a></span>&#160;        <span class="keyword">class </span><a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_relaxation_acceleration_inner.html">RelaxationAccelerationInner</a> : </div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;            <span class="keyword">public</span> <a class="code" href="class_s_p_h_1_1_interaction_dynamics.html">InteractionDynamics</a>, <span class="keyword">public</span> <a class="code" href="class_s_p_h_1_1_data_delegate_inner.html">RelaxDataDelegateInner</a></div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        {</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="keyword">public</span>:</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;            <a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_relaxation_acceleration_inner.html">RelaxationAccelerationInner</a>(<a class="code" href="class_s_p_h_1_1_base_inner_body_relation.html">BaseInnerBodyRelation</a>* body_inner_relation);</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;            <span class="keyword">virtual</span> ~<a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_relaxation_acceleration_inner.html">RelaxationAccelerationInner</a>() {};</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;            StdLargeVec&lt;Real&gt;&amp; Vol_;</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;            StdLargeVec&lt;Vecd&gt;&amp; dvel_dt_;</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;            StdLargeVec&lt;Vecd&gt;&amp; pos_n_;</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;            <span class="keyword">virtual</span> <span class="keywordtype">void</span> Interaction(<span class="keywordtype">size_t</span> index_i, Real dt = 0.0) <span class="keyword">override</span>;</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        };</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160; </div>
<div class="line"><a name="l00094"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1relax__dynamics_1_1_relaxation_acceleration_inner_with_level_set_correction.html">   94</a></span>&#160;        <span class="keyword">class </span><a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_relaxation_acceleration_inner_with_level_set_correction.html">RelaxationAccelerationInnerWithLevelSetCorrection</a> : </div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;            <span class="keyword">public</span> <a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_relaxation_acceleration_inner.html">RelaxationAccelerationInner</a></div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        {</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="keyword">public</span>:</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;            <a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_relaxation_acceleration_inner_with_level_set_correction.html">RelaxationAccelerationInnerWithLevelSetCorrection</a>(<a class="code" href="class_s_p_h_1_1_base_inner_body_relation.html">BaseInnerBodyRelation</a>* body_inner_relation);</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;            <span class="keyword">virtual</span> ~<a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_relaxation_acceleration_inner_with_level_set_correction.html">RelaxationAccelerationInnerWithLevelSetCorrection</a>() {};</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;            <a class="code" href="class_s_p_h_1_1_level_set_complex_shape.html">LevelSetComplexShape</a>* level_set_complex_shape_;</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;            <span class="keyword">virtual</span> <span class="keywordtype">void</span> Interaction(<span class="keywordtype">size_t</span> index_i, Real dt = 0.0) <span class="keyword">override</span>;</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        };</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160; </div>
<div class="line"><a name="l00109"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1relax__dynamics_1_1_update_particle_position.html">  109</a></span>&#160;        <span class="keyword">class </span><a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_update_particle_position.html">UpdateParticlePosition</a> :</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;            <span class="keyword">public</span> <a class="code" href="class_s_p_h_1_1_particle_dynamics_simple.html">ParticleDynamicsSimple</a>, <span class="keyword">public</span> <a class="code" href="class_s_p_h_1_1_data_delegate_simple.html">RelaxDataDelegateSimple</a></div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        {</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <span class="keyword">public</span>:</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;            <span class="keyword">explicit</span> <a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_update_particle_position.html">UpdateParticlePosition</a>(<a class="code" href="class_s_p_h_1_1_s_p_h_body.html">SPHBody</a>* body);</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;            <span class="keyword">virtual</span> ~<a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_update_particle_position.html">UpdateParticlePosition</a>() {};</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;            StdLargeVec&lt;Vecd&gt;&amp; pos_n_, &amp; dvel_dt_;</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;            <span class="keyword">virtual</span> <span class="keywordtype">void</span> Update(<span class="keywordtype">size_t</span> index_i, Real dt = 0.0) <span class="keyword">override</span>;</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        };</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160; </div>
<div class="line"><a name="l00124"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1relax__dynamics_1_1_update_smoothing_length_ratio_by_body_shape.html">  124</a></span>&#160;        <span class="keyword">class </span><a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_update_smoothing_length_ratio_by_body_shape.html">UpdateSmoothingLengthRatioByBodyShape</a> :</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;            <span class="keyword">public</span> <a class="code" href="class_s_p_h_1_1_particle_dynamics_simple.html">ParticleDynamicsSimple</a>, <span class="keyword">public</span> <a class="code" href="class_s_p_h_1_1_data_delegate_simple.html">RelaxDataDelegateSimple</a></div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;        {</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        <span class="keyword">public</span>:</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;            <span class="keyword">explicit</span> <a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_update_smoothing_length_ratio_by_body_shape.html">UpdateSmoothingLengthRatioByBodyShape</a>(<a class="code" href="class_s_p_h_1_1_s_p_h_body.html">SPHBody</a>* body);</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;            <span class="keyword">virtual</span> ~<a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_update_smoothing_length_ratio_by_body_shape.html">UpdateSmoothingLengthRatioByBodyShape</a>() {};</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;        <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;            StdLargeVec&lt;Real&gt;&amp; h_ratio_, &amp; Vol_;</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;            StdLargeVec&lt;Vecd&gt;&amp; pos_n_;</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;            <a class="code" href="class_s_p_h_1_1_complex_shape.html">ComplexShape</a>&amp; body_shape_;</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;            <a class="code" href="class_s_p_h_1_1_kernel.html">Kernel</a>&amp; kernel_;</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;            <a class="code" href="class_s_p_h_1_1_particle_spacing_by_body_shape.html">ParticleSpacingByBodyShape</a>* particle_spacing_by_body_shape_;</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160; </div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;            <span class="keyword">virtual</span> <span class="keywordtype">void</span> Update(<span class="keywordtype">size_t</span> index_i, Real dt = 0.0) <span class="keyword">override</span>;</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;        };</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160; </div>
<div class="line"><a name="l00146"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1relax__dynamics_1_1_relaxation_acceleration_complex.html">  146</a></span>&#160;        <span class="keyword">class </span><a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_relaxation_acceleration_complex.html">RelaxationAccelerationComplex</a> : </div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;            <span class="keyword">public</span> <a class="code" href="class_s_p_h_1_1_interaction_dynamics.html">InteractionDynamics</a>,</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;            <span class="keyword">public</span> <a class="code" href="class_s_p_h_1_1_data_delegate_complex.html">RelaxDataDelegateComplex</a></div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;        {</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;        <span class="keyword">public</span>:</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;            <a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_relaxation_acceleration_complex.html">RelaxationAccelerationComplex</a>(<a class="code" href="class_s_p_h_1_1_complex_body_relation.html">ComplexBodyRelation</a>* body_complex_relation);</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;            <span class="keyword">virtual</span> ~<a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_relaxation_acceleration_complex.html">RelaxationAccelerationComplex</a>() {};</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;        <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;            StdLargeVec&lt;Real&gt;&amp; Vol_;</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;            StdLargeVec&lt;Vecd&gt;&amp; dvel_dt_;</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;            StdVec&lt;StdLargeVec&lt;Real&gt;*&gt; contact_Vol_;</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;            <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_relaxation_acceleration_complex.html#a90cfeb75c20c1aa82e34fdccc4f67e50">Interaction</a>(<span class="keywordtype">size_t</span> index_i, Real dt = 0.0) <span class="keyword">override</span>;</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;        };</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160; </div>
<div class="line"><a name="l00166"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1relax__dynamics_1_1_shape_surface_bounding.html">  166</a></span>&#160;        <span class="keyword">class </span><a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_shape_surface_bounding.html">ShapeSurfaceBounding</a> : </div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;            <span class="keyword">public</span> <a class="code" href="class_s_p_h_1_1_part_dynamics_by_cell.html">PartDynamicsByCell</a>,</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;            <span class="keyword">public</span> <a class="code" href="class_s_p_h_1_1_data_delegate_simple.html">RelaxDataDelegateSimple</a></div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;        {</div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;        <span class="keyword">public</span>:</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;            <a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_shape_surface_bounding.html">ShapeSurfaceBounding</a>(<a class="code" href="class_s_p_h_1_1_s_p_h_body.html">SPHBody</a> *body, <a class="code" href="class_s_p_h_1_1_near_shape_surface.html">NearShapeSurface</a>* body_part);</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;            <span class="keyword">virtual</span> ~<a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_shape_surface_bounding.html">ShapeSurfaceBounding</a>() {};</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;        <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;            StdLargeVec&lt;Vecd&gt;&amp; pos_n_;</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;            Real constrained_distance_;</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;            <span class="keyword">virtual</span> <span class="keywordtype">void</span> Update(<span class="keywordtype">size_t</span> index_i, Real dt = 0.0) <span class="keyword">override</span>;</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;        };</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160; </div>
<div class="line"><a name="l00185"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1relax__dynamics_1_1_constraint_surface_particles.html">  185</a></span>&#160;        <span class="keyword">class </span><a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_constraint_surface_particles.html">ConstraintSurfaceParticles</a> : </div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;            <span class="keyword">public</span> <a class="code" href="class_s_p_h_1_1_part_simple_dynamics_by_particle.html">PartSimpleDynamicsByParticle</a>,</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;            <span class="keyword">public</span> <a class="code" href="class_s_p_h_1_1_data_delegate_simple.html">RelaxDataDelegateSimple</a></div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;        {</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;        <span class="keyword">public</span>:</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;            <a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_constraint_surface_particles.html">ConstraintSurfaceParticles</a>(<a class="code" href="class_s_p_h_1_1_s_p_h_body.html">SPHBody</a>* body, <a class="code" href="class_s_p_h_1_1_shape_surface.html">ShapeSurface</a>* body_part);</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;            <span class="keyword">virtual</span> ~<a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_constraint_surface_particles.html">ConstraintSurfaceParticles</a>() {};</div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;        <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;            Real constrained_distance_;</div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;            StdLargeVec&lt;Vecd&gt;&amp; pos_n_;</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;            <span class="keyword">virtual</span> <span class="keywordtype">void</span> Update(<span class="keywordtype">size_t</span> index_i, Real dt = 0.0) <span class="keyword">override</span>;</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;        };</div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160; </div>
<div class="line"><a name="l00202"></a><span class="lineno"><a class="line" href="class_s_p_h_1_1relax__dynamics_1_1_relaxation_step_inner.html">  202</a></span>&#160;        <span class="keyword">class </span><a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_relaxation_step_inner.html">RelaxationStepInner</a> : <span class="keyword">public</span>  <a class="code" href="class_s_p_h_1_1_particle_dynamics.html">ParticleDynamics</a>&lt;void&gt;</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;        {</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;        <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;            <a class="code" href="class_s_p_h_1_1_real_body.html">RealBody</a>* real_body_;</div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;            <a class="code" href="class_s_p_h_1_1_base_inner_body_relation.html">BaseInnerBodyRelation</a>* inner_relation_;</div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;        <span class="keyword">public</span>:</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;            <span class="keyword">explicit</span> <a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_relaxation_step_inner.html">RelaxationStepInner</a>(<a class="code" href="class_s_p_h_1_1_base_inner_body_relation.html">BaseInnerBodyRelation</a>* body_inner_relation, <span class="keywordtype">bool</span> level_set_correction = <span class="keyword">false</span>);</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;            <span class="keyword">virtual</span> ~<a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_relaxation_step_inner.html">RelaxationStepInner</a>() {};</div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160; </div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;            <a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_relaxation_acceleration_inner.html">RelaxationAccelerationInner</a>* relaxation_acceleration_inner_;</div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;            <a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_get_time_step_size_square.html">GetTimeStepSizeSquare</a> get_time_step_square_;</div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;            <a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_update_particle_position.html">UpdateParticlePosition</a> update_particle_position_;</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;            <a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_shape_surface_bounding.html">ShapeSurfaceBounding</a>    surface_bounding_;</div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160; </div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;            <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code" href="class_s_p_h_1_1relax__dynamics_1_1_relaxation_step_inner.html#a0b2a44814e5e453df6dd4b0c4ee6bf00">exec</a>(Real dt = 0.0) <span class="keyword">override</span>;</div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;            <span class="keyword">virtual</span> <span class="keywordtype">void</span> parallel_exec(Real dt = 0.0) <span class="keyword">override</span>;</div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;        };</div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;    }</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;}</div>
</div><!-- fragment --></div><!-- contents -->
<div class="ttc" id="aclass_s_p_h_1_1_particle_dynamics_reduce_html"><div class="ttname"><a href="class_s_p_h_1_1_particle_dynamics_reduce.html">SPH::ParticleDynamicsReduce</a></div><div class="ttdoc">Base abstract class for reduce.</div><div class="ttdef"><b>Definition:</b> particle_dynamics_algorithms.h:66</div></div>
<div class="ttc" id="aclass_s_p_h_1_1relax__dynamics_1_1_relaxation_acceleration_inner_html"><div class="ttname"><a href="class_s_p_h_1_1relax__dynamics_1_1_relaxation_acceleration_inner.html">SPH::relax_dynamics::RelaxationAccelerationInner</a></div><div class="ttdoc">simple algorithm for physics relaxation without considering contact interaction. this is usually used...</div><div class="ttdef"><b>Definition:</b> relax_dynamics.h:77</div></div>
<div class="ttc" id="aclass_s_p_h_1_1relax__dynamics_1_1_relaxation_step_inner_html"><div class="ttname"><a href="class_s_p_h_1_1relax__dynamics_1_1_relaxation_step_inner.html">SPH::relax_dynamics::RelaxationStepInner</a></div><div class="ttdoc">carry out particle relaxation step of particles within the body</div><div class="ttdef"><b>Definition:</b> relax_dynamics.h:202</div></div>
<div class="ttc" id="aclass_s_p_h_1_1relax__dynamics_1_1_relaxation_acceleration_inner_with_level_set_correction_html"><div class="ttname"><a href="class_s_p_h_1_1relax__dynamics_1_1_relaxation_acceleration_inner_with_level_set_correction.html">SPH::relax_dynamics::RelaxationAccelerationInnerWithLevelSetCorrection</a></div><div class="ttdoc">we constrain particles to a level function representing the interafce.</div><div class="ttdef"><b>Definition:</b> relax_dynamics.h:94</div></div>
<div class="ttc" id="aneighbor__relation_8h_html"><div class="ttname"><a href="neighbor__relation_8h.html">neighbor_relation.h</a></div><div class="ttdoc">There are the classes for neighboring particles. It saves the information for carring out pair intera...</div></div>
<div class="ttc" id="abase__kernel_8h_html"><div class="ttname"><a href="base__kernel_8h.html">base_kernel.h</a></div><div class="ttdoc">This is the base classes of kernel functions. Implementation will be implemented in derived classes....</div></div>
<div class="ttc" id="aclass_s_p_h_1_1relax__dynamics_1_1_constraint_surface_particles_html"><div class="ttname"><a href="class_s_p_h_1_1relax__dynamics_1_1_constraint_surface_particles.html">SPH::relax_dynamics::ConstraintSurfaceParticles</a></div><div class="ttdoc">constrain surface particles by map contrained particles to geometry face and r = r + phi * norm (vect...</div><div class="ttdef"><b>Definition:</b> relax_dynamics.h:185</div></div>
<div class="ttc" id="aclass_s_p_h_1_1_complex_body_relation_html"><div class="ttname"><a href="class_s_p_h_1_1_complex_body_relation.html">SPH::ComplexBodyRelation</a></div><div class="ttdoc">The relation combined an inner and a contactbody relation. The interaction is in a inner-boundary-con...</div><div class="ttdef"><b>Definition:</b> body_relation.h:224</div></div>
<div class="ttc" id="aclass_s_p_h_1_1_kernel_html"><div class="ttname"><a href="class_s_p_h_1_1_kernel.html">SPH::Kernel</a></div><div class="ttdoc">Abstract base class of a general SPH kernel function which is a smoothed Dirac delta function,...</div><div class="ttdef"><b>Definition:</b> base_kernel.h:52</div></div>
<div class="ttc" id="aclass_s_p_h_1_1relax__dynamics_1_1_relaxation_acceleration_complex_html_a90cfeb75c20c1aa82e34fdccc4f67e50"><div class="ttname"><a href="class_s_p_h_1_1relax__dynamics_1_1_relaxation_acceleration_complex.html#a90cfeb75c20c1aa82e34fdccc4f67e50">SPH::relax_dynamics::RelaxationAccelerationComplex::Interaction</a></div><div class="ttdeci">virtual void Interaction(size_t index_i, Real dt=0.0) override</div><div class="ttdef"><b>Definition:</b> relax_dynamics.cpp:112</div></div>
<div class="ttc" id="aclass_s_p_h_1_1relax__dynamics_1_1_relaxation_step_inner_html_a0b2a44814e5e453df6dd4b0c4ee6bf00"><div class="ttname"><a href="class_s_p_h_1_1relax__dynamics_1_1_relaxation_step_inner.html#a0b2a44814e5e453df6dd4b0c4ee6bf00">SPH::relax_dynamics::RelaxationStepInner::exec</a></div><div class="ttdeci">virtual void exec(Real dt=0.0) override</div><div class="ttdef"><b>Definition:</b> relax_dynamics.cpp:186</div></div>
<div class="ttc" id="aclass_s_p_h_1_1relax__dynamics_1_1_relaxation_acceleration_complex_html"><div class="ttname"><a href="class_s_p_h_1_1relax__dynamics_1_1_relaxation_acceleration_complex.html">SPH::relax_dynamics::RelaxationAccelerationComplex</a></div><div class="ttdoc">compute relaxation acceleration while consider the present of contact bodies with considering contact...</div><div class="ttdef"><b>Definition:</b> relax_dynamics.h:146</div></div>
<div class="ttc" id="aclass_s_p_h_1_1relax__dynamics_1_1_update_smoothing_length_ratio_by_body_shape_html"><div class="ttname"><a href="class_s_p_h_1_1relax__dynamics_1_1_update_smoothing_length_ratio_by_body_shape.html">SPH::relax_dynamics::UpdateSmoothingLengthRatioByBodyShape</a></div><div class="ttdoc">update the particle smoothing length ratio</div><div class="ttdef"><b>Definition:</b> relax_dynamics.h:124</div></div>
<div class="ttc" id="aclass_s_p_h_1_1_real_body_html"><div class="ttname"><a href="class_s_p_h_1_1_real_body.html">SPH::RealBody</a></div><div class="ttdoc">Derived class from SPHBody. With inner particle configuration or inner interactions.</div><div class="ttdef"><b>Definition:</b> base_body.h:121</div></div>
<div class="ttc" id="aclass_s_p_h_1_1relax__dynamics_1_1_shape_surface_bounding_html"><div class="ttname"><a href="class_s_p_h_1_1relax__dynamics_1_1_shape_surface_bounding.html">SPH::relax_dynamics::ShapeSurfaceBounding</a></div><div class="ttdoc">constrain surface particles by map contrained particles to geometry face and r = r + phi * norm (vect...</div><div class="ttdef"><b>Definition:</b> relax_dynamics.h:166</div></div>
<div class="ttc" id="aclass_s_p_h_1_1_level_set_complex_shape_html"><div class="ttname"><a href="class_s_p_h_1_1_level_set_complex_shape.html">SPH::LevelSetComplexShape</a></div><div class="ttdoc">the final geomtrical definition of the SPHBody based on a narrow band level set function generated fr...</div><div class="ttdef"><b>Definition:</b> geometry_level_set.h:22</div></div>
<div class="ttc" id="aclass_s_p_h_1_1relax__dynamics_1_1_get_time_step_size_square_html"><div class="ttname"><a href="class_s_p_h_1_1relax__dynamics_1_1_get_time_step_size_square.html">SPH::relax_dynamics::GetTimeStepSizeSquare</a></div><div class="ttdoc">relaxation dynamics for particle initialization computing the square of time step size</div><div class="ttdef"><b>Definition:</b> relax_dynamics.h:57</div></div>
<div class="ttc" id="aclass_s_p_h_1_1_particle_dynamics_html"><div class="ttname"><a href="class_s_p_h_1_1_particle_dynamics.html">SPH::ParticleDynamics</a></div><div class="ttdoc">The base class for all particle dynamics This class contains the only two interface functions availab...</div><div class="ttdef"><b>Definition:</b> base_particle_dynamics.h:122</div></div>
<div class="ttc" id="aclass_s_p_h_1_1_near_shape_surface_html"><div class="ttname"><a href="class_s_p_h_1_1_near_shape_surface.html">SPH::NearShapeSurface</a></div><div class="ttdoc">An auxillary class for SPHBody to indicate the region close to the surface of shape.</div><div class="ttdef"><b>Definition:</b> base_body.h:267</div></div>
<div class="ttc" id="aclass_s_p_h_1_1_base_inner_body_relation_html"><div class="ttname"><a href="class_s_p_h_1_1_base_inner_body_relation.html">SPH::BaseInnerBodyRelation</a></div><div class="ttdoc">The base relation within a SPH body.</div><div class="ttdef"><b>Definition:</b> body_relation.h:110</div></div>
<div class="ttc" id="aclass_s_p_h_1_1_part_simple_dynamics_by_particle_html"><div class="ttname"><a href="class_s_p_h_1_1_part_simple_dynamics_by_particle.html">SPH::PartSimpleDynamicsByParticle</a></div><div class="ttdoc">Abstract class for body part simple particle dynamics.</div><div class="ttdef"><b>Definition:</b> particle_dynamics_bodypart.h:63</div></div>
<div class="ttc" id="amesh__cell__linked__list_8h_html"><div class="ttname"><a href="mesh__cell__linked__list_8h.html">mesh_cell_linked_list.h</a></div><div class="ttdoc">Here gives the classes for managing cell linked lists. This is the basic class for building the parti...</div></div>
<div class="ttc" id="aclass_s_p_h_1_1_part_dynamics_by_cell_html"><div class="ttname"><a href="class_s_p_h_1_1_part_dynamics_by_cell.html">SPH::PartDynamicsByCell</a></div><div class="ttdoc">Abstract class for imposing Eulerian constrain to a body. The constrained particles are in the tagged...</div><div class="ttdef"><b>Definition:</b> particle_dynamics_bodypart.h:127</div></div>
<div class="ttc" id="aclass_s_p_h_1_1_data_delegate_inner_html"><div class="ttname"><a href="class_s_p_h_1_1_data_delegate_inner.html">SPH::DataDelegateInner</a></div><div class="ttdoc">prepare data for inner particle dynamics</div><div class="ttdef"><b>Definition:</b> base_particle_dynamics.h:190</div></div>
<div class="ttc" id="aclass_s_p_h_1_1_interaction_dynamics_html"><div class="ttname"><a href="class_s_p_h_1_1_interaction_dynamics.html">SPH::InteractionDynamics</a></div><div class="ttdoc">This is the class for particle interaction with other particles.</div><div class="ttdef"><b>Definition:</b> particle_dynamics_algorithms.h:111</div></div>
<div class="ttc" id="aclass_s_p_h_1_1_s_p_h_body_html"><div class="ttname"><a href="class_s_p_h_1_1_s_p_h_body.html">SPH::SPHBody</a></div><div class="ttdoc">SPHBody is a base body with basic data and functions. Its derived class can be a real fluid body,...</div><div class="ttdef"><b>Definition:</b> base_body.h:63</div></div>
<div class="ttc" id="aclass_s_p_h_1_1relax__dynamics_1_1_update_particle_position_html"><div class="ttname"><a href="class_s_p_h_1_1relax__dynamics_1_1_update_particle_position.html">SPH::relax_dynamics::UpdateParticlePosition</a></div><div class="ttdoc">update the particle position for a time step</div><div class="ttdef"><b>Definition:</b> relax_dynamics.h:109</div></div>
<div class="ttc" id="aclass_s_p_h_1_1_particle_dynamics_simple_html"><div class="ttname"><a href="class_s_p_h_1_1_particle_dynamics_simple.html">SPH::ParticleDynamicsSimple</a></div><div class="ttdoc">Simple particle dynamics without considering particle interaction.</div><div class="ttdef"><b>Definition:</b> particle_dynamics_algorithms.h:46</div></div>
<div class="ttc" id="anamespace_s_p_h_html"><div class="ttname"><a href="namespace_s_p_h.html">SPH</a></div><div class="ttdef"><b>Definition:</b> solid_body_supplementary.cpp:9</div></div>
<div class="ttc" id="aclass_s_p_h_1_1_data_delegate_simple_html"><div class="ttname"><a href="class_s_p_h_1_1_data_delegate_simple.html">SPH::DataDelegateSimple</a></div><div class="ttdoc">prepare data for simple particle dynamics.</div><div class="ttdef"><b>Definition:</b> base_particle_dynamics.h:164</div></div>
<div class="ttc" id="aclass_s_p_h_1_1_particle_spacing_by_body_shape_html"><div class="ttname"><a href="class_s_p_h_1_1_particle_spacing_by_body_shape.html">SPH::ParticleSpacingByBodyShape</a></div><div class="ttdoc">Adaptive resolutions within a SPH body according to the distance to the body surface.</div><div class="ttdef"><b>Definition:</b> particle_adaptation.h:130</div></div>
<div class="ttc" id="aclass_s_p_h_1_1_data_delegate_complex_html"><div class="ttname"><a href="class_s_p_h_1_1_data_delegate_complex.html">SPH::DataDelegateComplex</a></div><div class="ttdoc">prepare data for complex particle dynamics</div><div class="ttdef"><b>Definition:</b> base_particle_dynamics.h:236</div></div>
<div class="ttc" id="aclass_s_p_h_1_1_complex_shape_html"><div class="ttname"><a href="class_s_p_h_1_1_complex_shape.html">SPH::ComplexShape</a></div><div class="ttdoc">gives the final geomtrical definition of the SPHBody</div><div class="ttdef"><b>Definition:</b> geometry.h:74</div></div>
<div class="ttc" id="aclass_s_p_h_1_1_shape_surface_html"><div class="ttname"><a href="class_s_p_h_1_1_shape_surface.html">SPH::ShapeSurface</a></div><div class="ttdoc">A auxillary class for Body to indicate the surface of a shape.</div><div class="ttdef"><b>Definition:</b> base_body.h:211</div></div>
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